Hi Radhiajoy -
Welcome to My Swiss Alps. It's nice to have that much time in Switzerland.
Because of the intraction between the seasons, weather and altitude, it is important to know when you are traveling.
It is likely thatthe itinerray could be improved, even without a change in reservations... TYou have picked two nice places to saty. More about that later.
For a start, these links will help you with your travel scheduling, and with the travelpass information:
Check out the sub-links on this page, for a start:
For travel planning, a map and the SBB time table are the essentials;
Please make sure to study the instructions.
Zoom in to zoom level 32 ( as noted in the URL) and the train tracks become clearly visible.
Open the menu under "Points of Interest" and click on Traffic.
Mouse over a station icon, and the transport services for that station stop are listed. Right click for an abbreviated near term schedule.
Every one has there own preferences, so the choice of an itinerary is a personal matter, dependent time of year and on your interests...sightseeing, walking or hiking, museums, etc.
Off hand, I'd spend more time in the Jungfrau region, go to Bern from Luzern, add the time to the region around Luzern, spend less time in Zürich, and skip the Rheinfall, unless you have never seen waterfall before. ;-)
You may search this site for each of those place names and learn a lot.
For a start on the regions and cities and towns, look here: